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Finding the Third Proportional to 229,250,653 and 503,538,248

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Solution

The third proportional to 229,250,653 and 503,538,248 is: 1,105,998,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,250,653 : 503,538,248 = 503,538,248 : x
  2. Step 2: Convert to fraction form
    229,250,653/503,538,248 = 503,538,248/x
  3. Step 3: Cross multiply
    229,250,653x = 503,538,248 × 503,538,248
  4. Step 4: Simplify right side
    229,250,653x = 253,550,767,198,909,504
  5. Step 5: Solve for x
    x = 253,550,767,198,909,504/229,250,653
  6. Step 6: Final answer
    x = 1,105,998,015.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.